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Day 189: CDS Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Number System. Asked once: CDS 1 2020 (same type asked 6 times) See all 6 of this type

    2
    Two unequal pairs of numbers satisfy the following conditions : (i) The product of the two numbers in each pair is 2160 (ii) The HCF of the two numbers in each pair is 12. If xx is the mean of the numbers in the first pair and yy is the mean of the numbers in the second pair, then what is the mean of xx and yy ?

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  2. Question 2

    Quadratic Equations. Asked once: CDS 2 2022 (same type asked 6 times) See all 6 of this type

    6
    If the sum of the squares of the roots of the equation x2−14x+k=0x^2 - 14x + k = 0 is 100, then what is the value of k ?

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  3. Question 3

    Time and Work. Asked once: CDS 1 2018 (same type asked 6 times) See all 6 of this type

    32
    If 5 tractors can plough 5 hectares of land in 5 days, then what is the number of tractors required to plough 100 hectares in 50 days?

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  4. Question 4

    Mensuration 2D. Asked once: CDS 1 2020 (same type asked 6 times) See all 6 of this type

    84
    If an arc of a circle of radius 6 cm subtends a central angle measuring 30∘30^\circ, then which one of the following is an approximate length of the arc ?

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  5. Question 5

    Mensuration 2D. Asked once: CDS 1 2018 (same type asked 6 times) See all 6 of this type

    94
    A square and an equilateral triangle have the same perimeter. If the diagonal of the square is 626\sqrt{2} cm, then what is the area of the triangle ?

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